Properties

Label 483.2.bf.a.178.18
Level $483$
Weight $2$
Character 483.178
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 178.18
Character \(\chi\) \(=\) 483.178
Dual form 483.2.bf.a.19.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.177076 - 0.0169087i) q^{2} +(-0.690079 - 0.723734i) q^{3} +(-1.93279 + 0.372514i) q^{4} +(1.69892 + 0.875853i) q^{5} +(-0.134434 - 0.116488i) q^{6} +(-2.13977 - 1.55608i) q^{7} +(-0.677305 + 0.198875i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +O(q^{10})\) \(q+(0.177076 - 0.0169087i) q^{2} +(-0.690079 - 0.723734i) q^{3} +(-1.93279 + 0.372514i) q^{4} +(1.69892 + 0.875853i) q^{5} +(-0.134434 - 0.116488i) q^{6} +(-2.13977 - 1.55608i) q^{7} +(-0.677305 + 0.198875i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +(0.315648 + 0.126366i) q^{10} +(-0.305519 + 3.19954i) q^{11} +(1.60338 + 1.14176i) q^{12} +(3.50608 - 0.504098i) q^{13} +(-0.405214 - 0.239363i) q^{14} +(-0.538503 - 1.83397i) q^{15} +(3.53815 - 1.41646i) q^{16} +(1.88112 + 5.43513i) q^{17} +(0.00846395 + 0.177680i) q^{18} +(-2.64533 + 7.64319i) q^{19} +(-3.60991 - 1.05997i) q^{20} +(0.350428 + 2.62244i) q^{21} +0.571728i q^{22} +(4.74465 - 0.698774i) q^{23} +(0.611326 + 0.352949i) q^{24} +(-0.781083 - 1.09688i) q^{25} +(0.612320 - 0.148547i) q^{26} +(0.755750 - 0.654861i) q^{27} +(4.71539 + 2.21047i) q^{28} +(-4.25192 + 4.90698i) q^{29} +(-0.126366 - 0.315648i) q^{30} +(-4.23404 - 1.02717i) q^{31} +(1.85743 - 0.957570i) q^{32} +(2.52645 - 1.98682i) q^{33} +(0.425003 + 0.930626i) q^{34} +(-2.27240 - 4.51777i) q^{35} +(-0.280127 - 1.94832i) q^{36} +(8.47795 + 0.403854i) q^{37} +(-0.339189 + 1.39816i) q^{38} +(-2.78430 - 2.18960i) q^{39} +(-1.32487 - 0.255348i) q^{40} +(1.14661 + 1.78417i) q^{41} +(0.106395 + 0.458447i) q^{42} +(-3.46130 + 11.7881i) q^{43} +(-0.601370 - 6.29784i) q^{44} +(-0.955698 + 1.65532i) q^{45} +(0.828350 - 0.203962i) q^{46} +(3.29504 - 1.90239i) q^{47} +(-3.46674 - 1.58321i) q^{48} +(2.15726 + 6.65930i) q^{49} +(-0.156858 - 0.181024i) q^{50} +(2.63547 - 5.11210i) q^{51} +(-6.58872 + 2.28038i) q^{52} +(1.01011 - 1.28445i) q^{53} +(0.122752 - 0.128739i) q^{54} +(-3.32138 + 5.16816i) q^{55} +(1.75874 + 0.628391i) q^{56} +(7.35713 - 3.35989i) q^{57} +(-0.669944 + 0.940805i) q^{58} +(2.71467 - 6.78093i) q^{59} +(1.72399 + 3.34408i) q^{60} +(1.46781 + 1.39955i) q^{61} +(-0.767116 - 0.110295i) q^{62} +(1.65613 - 2.06331i) q^{63} +(-6.09957 + 3.91996i) q^{64} +(6.39805 + 2.21439i) q^{65} +(0.413779 - 0.394538i) q^{66} +(-7.16923 + 5.10519i) q^{67} +(-5.66046 - 9.80421i) q^{68} +(-3.77991 - 2.95166i) q^{69} +(-0.478779 - 0.761566i) q^{70} +(4.66441 - 10.2136i) q^{71} +(-0.166422 - 0.686000i) q^{72} +(-0.886843 - 4.60138i) q^{73} +(1.50807 - 0.0718383i) q^{74} +(-0.254839 + 1.32223i) q^{75} +(2.26567 - 15.7581i) q^{76} +(5.63246 - 6.37088i) q^{77} +(-0.530057 - 0.340647i) q^{78} +(-2.97716 - 3.78577i) q^{79} +(7.25163 + 0.692447i) q^{80} +(-0.995472 - 0.0950560i) q^{81} +(0.233206 + 0.296546i) q^{82} +(-12.8156 - 8.23609i) q^{83} +(-1.65420 - 4.93808i) q^{84} +(-1.56451 + 10.8814i) q^{85} +(-0.413592 + 2.14592i) q^{86} +(6.48551 - 0.308943i) q^{87} +(-0.429377 - 2.22782i) q^{88} +(-1.33103 - 5.48657i) q^{89} +(-0.141242 + 0.309277i) q^{90} +(-8.28662 - 4.37707i) q^{91} +(-8.91010 + 3.11803i) q^{92} +(2.17843 + 3.77314i) q^{93} +(0.551307 - 0.392584i) q^{94} +(-11.1885 + 10.6682i) q^{95} +(-1.97480 - 0.683484i) q^{96} +(-8.72838 + 5.60939i) q^{97} +(0.494600 + 1.14273i) q^{98} +(-3.18138 - 0.457413i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{7}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.177076 0.0169087i 0.125212 0.0119563i −0.0322619 0.999479i \(-0.510271\pi\)
0.157474 + 0.987523i \(0.449665\pi\)
\(3\) −0.690079 0.723734i −0.398417 0.417848i
\(4\) −1.93279 + 0.372514i −0.966394 + 0.186257i
\(5\) 1.69892 + 0.875853i 0.759779 + 0.391693i 0.794155 0.607716i \(-0.207914\pi\)
−0.0343758 + 0.999409i \(0.510944\pi\)
\(6\) −0.134434 0.116488i −0.0548825 0.0475559i
\(7\) −2.13977 1.55608i −0.808758 0.588141i
\(8\) −0.677305 + 0.198875i −0.239463 + 0.0703128i
\(9\) −0.0475819 + 0.998867i −0.0158606 + 0.332956i
\(10\) 0.315648 + 0.126366i 0.0998165 + 0.0399605i
\(11\) −0.305519 + 3.19954i −0.0921174 + 0.964697i 0.824748 + 0.565500i \(0.191317\pi\)
−0.916865 + 0.399197i \(0.869289\pi\)
\(12\) 1.60338 + 1.14176i 0.462855 + 0.329598i
\(13\) 3.50608 0.504098i 0.972411 0.139812i 0.362243 0.932084i \(-0.382011\pi\)
0.610168 + 0.792272i \(0.291102\pi\)
\(14\) −0.405214 0.239363i −0.108298 0.0639725i
\(15\) −0.538503 1.83397i −0.139041 0.473529i
\(16\) 3.53815 1.41646i 0.884537 0.354115i
\(17\) 1.88112 + 5.43513i 0.456238 + 1.31821i 0.905323 + 0.424724i \(0.139629\pi\)
−0.449085 + 0.893489i \(0.648250\pi\)
\(18\) 0.00846395 + 0.177680i 0.00199497 + 0.0418796i
\(19\) −2.64533 + 7.64319i −0.606881 + 1.75347i 0.0492111 + 0.998788i \(0.484329\pi\)
−0.656093 + 0.754680i \(0.727792\pi\)
\(20\) −3.60991 1.05997i −0.807201 0.237016i
\(21\) 0.350428 + 2.62244i 0.0764696 + 0.572264i
\(22\) 0.571728i 0.121893i
\(23\) 4.74465 0.698774i 0.989328 0.145704i
\(24\) 0.611326 + 0.352949i 0.124786 + 0.0720455i
\(25\) −0.781083 1.09688i −0.156217 0.219376i
\(26\) 0.612320 0.148547i 0.120086 0.0291325i
\(27\) 0.755750 0.654861i 0.145444 0.126028i
\(28\) 4.71539 + 2.21047i 0.891124 + 0.417739i
\(29\) −4.25192 + 4.90698i −0.789562 + 0.911203i −0.997761 0.0668831i \(-0.978695\pi\)
0.208198 + 0.978087i \(0.433240\pi\)
\(30\) −0.126366 0.315648i −0.0230712 0.0576291i
\(31\) −4.23404 1.02717i −0.760456 0.184485i −0.163263 0.986583i \(-0.552202\pi\)
−0.597193 + 0.802098i \(0.703717\pi\)
\(32\) 1.85743 0.957570i 0.328350 0.169276i
\(33\) 2.52645 1.98682i 0.439798 0.345861i
\(34\) 0.425003 + 0.930626i 0.0728873 + 0.159601i
\(35\) −2.27240 4.51777i −0.384106 0.763642i
\(36\) −0.280127 1.94832i −0.0466878 0.324721i
\(37\) 8.47795 + 0.403854i 1.39377 + 0.0663932i 0.730971 0.682408i \(-0.239067\pi\)
0.662794 + 0.748801i \(0.269370\pi\)
\(38\) −0.339189 + 1.39816i −0.0550238 + 0.226811i
\(39\) −2.78430 2.18960i −0.445845 0.350617i
\(40\) −1.32487 0.255348i −0.209480 0.0403740i
\(41\) 1.14661 + 1.78417i 0.179071 + 0.278640i 0.919172 0.393855i \(-0.128859\pi\)
−0.740101 + 0.672495i \(0.765222\pi\)
\(42\) 0.106395 + 0.458447i 0.0164170 + 0.0707399i
\(43\) −3.46130 + 11.7881i −0.527843 + 1.79767i 0.0718244 + 0.997417i \(0.477118\pi\)
−0.599667 + 0.800250i \(0.704700\pi\)
\(44\) −0.601370 6.29784i −0.0906600 0.949435i
\(45\) −0.955698 + 1.65532i −0.142467 + 0.246760i
\(46\) 0.828350 0.203962i 0.122134 0.0300726i
\(47\) 3.29504 1.90239i 0.480632 0.277493i −0.240048 0.970761i \(-0.577163\pi\)
0.720680 + 0.693268i \(0.243830\pi\)
\(48\) −3.46674 1.58321i −0.500381 0.228517i
\(49\) 2.15726 + 6.65930i 0.308180 + 0.951328i
\(50\) −0.156858 0.181024i −0.0221831 0.0256006i
\(51\) 2.63547 5.11210i 0.369040 0.715837i
\(52\) −6.58872 + 2.28038i −0.913691 + 0.316231i
\(53\) 1.01011 1.28445i 0.138749 0.176433i −0.711713 0.702470i \(-0.752080\pi\)
0.850462 + 0.526037i \(0.176323\pi\)
\(54\) 0.122752 0.128739i 0.0167045 0.0175192i
\(55\) −3.32138 + 5.16816i −0.447854 + 0.696875i
\(56\) 1.75874 + 0.628391i 0.235022 + 0.0839722i
\(57\) 7.35713 3.35989i 0.974476 0.445028i
\(58\) −0.669944 + 0.940805i −0.0879680 + 0.123534i
\(59\) 2.71467 6.78093i 0.353420 0.882801i −0.640010 0.768366i \(-0.721070\pi\)
0.993431 0.114435i \(-0.0365058\pi\)
\(60\) 1.72399 + 3.34408i 0.222566 + 0.431719i
\(61\) 1.46781 + 1.39955i 0.187934 + 0.179194i 0.778205 0.628011i \(-0.216131\pi\)
−0.590271 + 0.807205i \(0.700979\pi\)
\(62\) −0.767116 0.110295i −0.0974238 0.0140074i
\(63\) 1.65613 2.06331i 0.208652 0.259952i
\(64\) −6.09957 + 3.91996i −0.762446 + 0.489995i
\(65\) 6.39805 + 2.21439i 0.793581 + 0.274661i
\(66\) 0.413779 0.394538i 0.0509327 0.0485642i
\(67\) −7.16923 + 5.10519i −0.875861 + 0.623698i −0.927028 0.374992i \(-0.877645\pi\)
0.0511667 + 0.998690i \(0.483706\pi\)
\(68\) −5.66046 9.80421i −0.686432 1.18894i
\(69\) −3.77991 2.95166i −0.455048 0.355338i
\(70\) −0.478779 0.761566i −0.0572250 0.0910246i
\(71\) 4.66441 10.2136i 0.553563 1.21213i −0.401534 0.915844i \(-0.631523\pi\)
0.955098 0.296291i \(-0.0957498\pi\)
\(72\) −0.166422 0.686000i −0.0196130 0.0808459i
\(73\) −0.886843 4.60138i −0.103797 0.538551i −0.996184 0.0872794i \(-0.972183\pi\)
0.892387 0.451271i \(-0.149029\pi\)
\(74\) 1.50807 0.0718383i 0.175310 0.00835104i
\(75\) −0.254839 + 1.32223i −0.0294262 + 0.152678i
\(76\) 2.26567 15.7581i 0.259890 1.80758i
\(77\) 5.63246 6.37088i 0.641879 0.726029i
\(78\) −0.530057 0.340647i −0.0600172 0.0385707i
\(79\) −2.97716 3.78577i −0.334957 0.425932i 0.589175 0.808005i \(-0.299453\pi\)
−0.924132 + 0.382073i \(0.875210\pi\)
\(80\) 7.25163 + 0.692447i 0.810757 + 0.0774179i
\(81\) −0.995472 0.0950560i −0.110608 0.0105618i
\(82\) 0.233206 + 0.296546i 0.0257533 + 0.0327480i
\(83\) −12.8156 8.23609i −1.40670 0.904029i −0.406741 0.913543i \(-0.633335\pi\)
−0.999955 + 0.00951490i \(0.996971\pi\)
\(84\) −1.65420 4.93808i −0.180488 0.538789i
\(85\) −1.56451 + 10.8814i −0.169695 + 1.18026i
\(86\) −0.413592 + 2.14592i −0.0445987 + 0.231400i
\(87\) 6.48551 0.308943i 0.695320 0.0331222i
\(88\) −0.429377 2.22782i −0.0457718 0.237487i
\(89\) −1.33103 5.48657i −0.141089 0.581575i −0.997831 0.0658303i \(-0.979030\pi\)
0.856742 0.515745i \(-0.172485\pi\)
\(90\) −0.141242 + 0.309277i −0.0148882 + 0.0326007i
\(91\) −8.28662 4.37707i −0.868674 0.458841i
\(92\) −8.91010 + 3.11803i −0.928942 + 0.325077i
\(93\) 2.17843 + 3.77314i 0.225892 + 0.391257i
\(94\) 0.551307 0.392584i 0.0568630 0.0404920i
\(95\) −11.1885 + 10.6682i −1.14792 + 1.09454i
\(96\) −1.97480 0.683484i −0.201552 0.0697578i
\(97\) −8.72838 + 5.60939i −0.886232 + 0.569547i −0.902677 0.430318i \(-0.858401\pi\)
0.0164452 + 0.999865i \(0.494765\pi\)
\(98\) 0.494600 + 1.14273i 0.0499621 + 0.115433i
\(99\) −3.18138 0.457413i −0.319740 0.0459717i
\(100\) 1.91827 + 1.82907i 0.191827 + 0.182907i
\(101\) −5.61154 10.8849i −0.558369 1.08309i −0.983997 0.178187i \(-0.942977\pi\)
0.425627 0.904898i \(-0.360053\pi\)
\(102\) 0.380240 0.949794i 0.0376494 0.0940436i
\(103\) 4.63844 6.51378i 0.457039 0.641821i −0.520180 0.854057i \(-0.674135\pi\)
0.977219 + 0.212236i \(0.0680744\pi\)
\(104\) −2.27443 + 1.03870i −0.223026 + 0.101853i
\(105\) −1.70152 + 4.76223i −0.166052 + 0.464746i
\(106\) 0.157147 0.244526i 0.0152635 0.0237505i
\(107\) −12.6097 + 13.2247i −1.21903 + 1.27848i −0.270152 + 0.962818i \(0.587074\pi\)
−0.948873 + 0.315659i \(0.897774\pi\)
\(108\) −1.21676 + 1.54723i −0.117083 + 0.148883i
\(109\) −1.56669 + 0.542237i −0.150062 + 0.0519369i −0.401066 0.916049i \(-0.631360\pi\)
0.251005 + 0.967986i \(0.419239\pi\)
\(110\) −0.500750 + 0.971319i −0.0477446 + 0.0926116i
\(111\) −5.55817 6.41447i −0.527558 0.608835i
\(112\) −9.77496 2.47472i −0.923647 0.233839i
\(113\) 14.3623 + 6.55902i 1.35109 + 0.617021i 0.953736 0.300645i \(-0.0972020\pi\)
0.397352 + 0.917666i \(0.369929\pi\)
\(114\) 1.24596 0.719356i 0.116695 0.0673739i
\(115\) 8.67279 + 2.96846i 0.808742 + 0.276810i
\(116\) 6.39014 11.0681i 0.593310 1.02764i
\(117\) 0.336701 + 3.52609i 0.0311280 + 0.325987i
\(118\) 0.366047 1.24664i 0.0336974 0.114763i
\(119\) 4.43231 14.5571i 0.406309 1.33445i
\(120\) 0.729461 + 1.13506i 0.0665904 + 0.103617i
\(121\) 0.657513 + 0.126725i 0.0597739 + 0.0115205i
\(122\) 0.283579 + 0.223009i 0.0256740 + 0.0201903i
\(123\) 0.500008 2.06106i 0.0450842 0.185840i
\(124\) 8.56613 + 0.408055i 0.769261 + 0.0366444i
\(125\) −1.72639 12.0073i −0.154413 1.07397i
\(126\) 0.258373 0.393366i 0.0230177 0.0350438i
\(127\) −1.95929 4.29024i −0.173859 0.380698i 0.802564 0.596567i \(-0.203469\pi\)
−0.976422 + 0.215869i \(0.930742\pi\)
\(128\) −4.29909 + 3.38084i −0.379989 + 0.298827i
\(129\) 10.9200 5.62966i 0.961453 0.495664i
\(130\) 1.17039 + 0.283932i 0.102650 + 0.0249025i
\(131\) 4.13980 + 10.3407i 0.361696 + 0.903474i 0.991897 + 0.127042i \(0.0405482\pi\)
−0.630201 + 0.776432i \(0.717028\pi\)
\(132\) −4.14297 + 4.78124i −0.360599 + 0.416153i
\(133\) 17.5538 12.2384i 1.52211 1.06120i
\(134\) −1.18318 + 1.02523i −0.102211 + 0.0885664i
\(135\) 1.85752 0.450629i 0.159870 0.0387840i
\(136\) −2.35500 3.30713i −0.201940 0.283584i
\(137\) 15.1417 + 8.74208i 1.29365 + 0.746886i 0.979298 0.202422i \(-0.0648812\pi\)
0.314347 + 0.949308i \(0.398215\pi\)
\(138\) −0.719241 0.458755i −0.0612259 0.0390518i
\(139\) 12.6525i 1.07317i 0.843847 + 0.536584i \(0.180286\pi\)
−0.843847 + 0.536584i \(0.819714\pi\)
\(140\) 6.07501 + 7.88538i 0.513432 + 0.666437i
\(141\) −3.65067 1.07193i −0.307442 0.0902731i
\(142\) 0.653257 1.88746i 0.0548201 0.158392i
\(143\) 0.541708 + 11.3718i 0.0452999 + 0.950961i
\(144\) 1.24650 + 3.60154i 0.103875 + 0.300128i
\(145\) −11.5215 + 4.61250i −0.956805 + 0.383047i
\(146\) −0.234842 0.799800i −0.0194357 0.0661919i
\(147\) 3.33088 6.15672i 0.274726 0.507798i
\(148\) −16.5365 + 2.37759i −1.35929 + 0.195437i
\(149\) 12.6802 + 9.02953i 1.03880 + 0.739728i 0.966242 0.257636i \(-0.0829436\pi\)
0.0725603 + 0.997364i \(0.476883\pi\)
\(150\) −0.0227687 + 0.238444i −0.00185905 + 0.0194689i
\(151\) 10.4857 + 4.19783i 0.853313 + 0.341615i 0.756744 0.653711i \(-0.226789\pi\)
0.0965689 + 0.995326i \(0.469213\pi\)
\(152\) 0.271661 5.70286i 0.0220346 0.462563i
\(153\) −5.51848 + 1.62037i −0.446143 + 0.130999i
\(154\) 0.889652 1.22337i 0.0716902 0.0985819i
\(155\) −6.29364 5.45347i −0.505517 0.438033i
\(156\) 6.19712 + 3.19484i 0.496167 + 0.255792i
\(157\) −12.1164 + 2.33525i −0.966995 + 0.186373i −0.648216 0.761456i \(-0.724485\pi\)
−0.318778 + 0.947829i \(0.603273\pi\)
\(158\) −0.591198 0.620030i −0.0470332 0.0493269i
\(159\) −1.62666 + 0.155327i −0.129002 + 0.0123182i
\(160\) 3.99430 0.315778
\(161\) −11.2398 5.88782i −0.885822 0.464025i
\(162\) −0.177882 −0.0139757
\(163\) 20.7914 1.98534i 1.62851 0.155504i 0.759571 0.650425i \(-0.225409\pi\)
0.868938 + 0.494921i \(0.164803\pi\)
\(164\) −2.88079 3.02129i −0.224952 0.235923i
\(165\) 6.03239 1.16265i 0.469621 0.0905119i
\(166\) −2.40860 1.24172i −0.186944 0.0963762i
\(167\) 1.85763 + 1.60964i 0.143748 + 0.124558i 0.723766 0.690045i \(-0.242409\pi\)
−0.580019 + 0.814603i \(0.696955\pi\)
\(168\) −0.758883 1.70650i −0.0585491 0.131659i
\(169\) −0.434943 + 0.127711i −0.0334572 + 0.00982391i
\(170\) −0.0930469 + 1.95330i −0.00713637 + 0.149811i
\(171\) −7.50867 3.00602i −0.574202 0.229876i
\(172\) 2.29872 24.0733i 0.175276 1.83557i
\(173\) −10.6802 7.60536i −0.812004 0.578225i 0.0968699 0.995297i \(-0.469117\pi\)
−0.908873 + 0.417072i \(0.863056\pi\)
\(174\) 1.14321 0.164368i 0.0866663 0.0124607i
\(175\) −0.0354840 + 3.56249i −0.00268234 + 0.269299i
\(176\) 3.45105 + 11.7532i 0.260133 + 0.885931i
\(177\) −6.78093 + 2.71467i −0.509686 + 0.204047i
\(178\) −0.328464 0.949035i −0.0246194 0.0711332i
\(179\) 0.326661 + 6.85747i 0.0244158 + 0.512551i 0.977640 + 0.210286i \(0.0674396\pi\)
−0.953224 + 0.302265i \(0.902257\pi\)
\(180\) 1.23053 3.55539i 0.0917184 0.265003i
\(181\) 11.0253 + 3.23733i 0.819506 + 0.240629i 0.664503 0.747285i \(-0.268643\pi\)
0.155003 + 0.987914i \(0.450461\pi\)
\(182\) −1.54138 0.634958i −0.114254 0.0470662i
\(183\) 2.02811i 0.149922i
\(184\) −3.07461 + 1.41687i −0.226663 + 0.104453i
\(185\) 14.0496 + 8.11155i 1.03295 + 0.596373i
\(186\) 0.449547 + 0.631300i 0.0329624 + 0.0462892i
\(187\) −17.9646 + 4.35817i −1.31370 + 0.318701i
\(188\) −5.65995 + 4.90438i −0.412794 + 0.357688i
\(189\) −2.63615 + 0.225250i −0.191751 + 0.0163845i
\(190\) −1.80083 + 2.07827i −0.130646 + 0.150774i
\(191\) −8.09396 20.2177i −0.585658 1.46290i −0.864533 0.502576i \(-0.832386\pi\)
0.278874 0.960328i \(-0.410039\pi\)
\(192\) 7.04619 + 1.70939i 0.508515 + 0.123364i
\(193\) 8.94014 4.60896i 0.643526 0.331761i −0.105385 0.994431i \(-0.533607\pi\)
0.748911 + 0.662671i \(0.230577\pi\)
\(194\) −1.45074 + 1.14088i −0.104157 + 0.0819101i
\(195\) −2.81253 6.15859i −0.201410 0.441026i
\(196\) −6.65020 12.0674i −0.475015 0.861957i
\(197\) −0.263553 1.83305i −0.0187774 0.130600i 0.978276 0.207305i \(-0.0664691\pi\)
−0.997054 + 0.0767049i \(0.975560\pi\)
\(198\) −0.571081 0.0272039i −0.0405849 0.00193330i
\(199\) 1.67035 6.88526i 0.118408 0.488083i −0.881467 0.472246i \(-0.843443\pi\)
0.999875 0.0158374i \(-0.00504140\pi\)
\(200\) 0.747172 + 0.587583i 0.0528331 + 0.0415484i
\(201\) 8.64214 + 1.66564i 0.609569 + 0.117485i
\(202\) −1.17772 1.83257i −0.0828641 0.128939i
\(203\) 16.7338 3.88351i 1.17448 0.272569i
\(204\) −3.18947 + 10.8624i −0.223308 + 0.760517i
\(205\) 0.385336 + 4.03542i 0.0269130 + 0.281846i
\(206\) 0.711218 1.23187i 0.0495529 0.0858281i
\(207\) 0.472223 + 4.77253i 0.0328218 + 0.331713i
\(208\) 11.6910 6.74980i 0.810624 0.468014i
\(209\) −23.6465 10.7990i −1.63566 0.746982i
\(210\) −0.220776 + 0.872049i −0.0152350 + 0.0601771i
\(211\) 6.04383 + 6.97495i 0.416074 + 0.480176i 0.924637 0.380849i \(-0.124368\pi\)
−0.508563 + 0.861025i \(0.669823\pi\)
\(212\) −1.47384 + 2.85886i −0.101224 + 0.196347i
\(213\) −10.6108 + 3.67242i −0.727037 + 0.251630i
\(214\) −2.00927 + 2.55499i −0.137351 + 0.174655i
\(215\) −16.2051 + 16.9954i −1.10518 + 1.15908i
\(216\) −0.381638 + 0.593840i −0.0259671 + 0.0404057i
\(217\) 7.46153 + 8.78639i 0.506522 + 0.596459i
\(218\) −0.268255 + 0.122508i −0.0181685 + 0.00829729i
\(219\) −2.71818 + 3.81715i −0.183678 + 0.257939i
\(220\) 4.49430 11.2262i 0.303006 0.756871i
\(221\) 9.33518 + 18.1077i 0.627952 + 1.21806i
\(222\) −1.09268 1.04187i −0.0733359 0.0699257i
\(223\) 12.8963 + 1.85421i 0.863599 + 0.124167i 0.559859 0.828588i \(-0.310855\pi\)
0.303741 + 0.952755i \(0.401764\pi\)
\(224\) −5.46452 0.841314i −0.365114 0.0562126i
\(225\) 1.13280 0.728007i 0.0755200 0.0485338i
\(226\) 2.65412 + 0.918600i 0.176549 + 0.0611044i
\(227\) 3.19593 3.04731i 0.212121 0.202257i −0.576568 0.817049i \(-0.695608\pi\)
0.788689 + 0.614792i \(0.210760\pi\)
\(228\) −12.9682 + 9.23458i −0.858837 + 0.611575i
\(229\) −3.05271 5.28745i −0.201729 0.349405i 0.747357 0.664423i \(-0.231323\pi\)
−0.949086 + 0.315018i \(0.897989\pi\)
\(230\) 1.58594 + 0.378997i 0.104574 + 0.0249903i
\(231\) −8.49766 + 0.320001i −0.559105 + 0.0210545i
\(232\) 1.90397 4.16912i 0.125002 0.273716i
\(233\) −3.55724 14.6631i −0.233043 0.960615i −0.961342 0.275356i \(-0.911204\pi\)
0.728300 0.685259i \(-0.240311\pi\)
\(234\) 0.119244 + 0.618694i 0.00779519 + 0.0404453i
\(235\) 7.26423 0.346038i 0.473866 0.0225730i
\(236\) −2.72089 + 14.1173i −0.177115 + 0.918961i
\(237\) −0.685413 + 4.76715i −0.0445224 + 0.309660i
\(238\) 0.538715 2.65266i 0.0349197 0.171947i
\(239\) 6.49594 + 4.17469i 0.420187 + 0.270038i 0.733603 0.679578i \(-0.237837\pi\)
−0.313416 + 0.949616i \(0.601473\pi\)
\(240\) −4.50305 5.72610i −0.290671 0.369618i
\(241\) −6.02718 0.575526i −0.388245 0.0370729i −0.100891 0.994897i \(-0.532169\pi\)
−0.287354 + 0.957825i \(0.592775\pi\)
\(242\) 0.118573 + 0.0113223i 0.00762215 + 0.000727827i
\(243\) 0.618159 + 0.786053i 0.0396549 + 0.0504253i
\(244\) −3.35832 2.15826i −0.214994 0.138168i
\(245\) −2.16756 + 13.2030i −0.138480 + 0.843511i
\(246\) 0.0536896 0.373419i 0.00342313 0.0238084i
\(247\) −5.42183 + 28.1311i −0.344983 + 1.78994i
\(248\) 3.07201 0.146338i 0.195073 0.00929247i
\(249\) 2.88304 + 14.9586i 0.182705 + 0.947966i
\(250\) −0.508732 2.09702i −0.0321750 0.132627i
\(251\) 7.22539 15.8214i 0.456062 0.998637i −0.532305 0.846553i \(-0.678674\pi\)
0.988367 0.152085i \(-0.0485987\pi\)
\(252\) −2.43233 + 4.60487i −0.153222 + 0.290079i
\(253\) 0.786174 + 15.3942i 0.0494264 + 0.967824i
\(254\) −0.419486 0.726571i −0.0263209 0.0455891i
\(255\) 8.95489 6.37675i 0.560777 0.399328i
\(256\) 9.79087 9.33558i 0.611930 0.583474i
\(257\) 13.9391 + 4.82437i 0.869498 + 0.300936i 0.725150 0.688591i \(-0.241770\pi\)
0.144348 + 0.989527i \(0.453892\pi\)
\(258\) 1.83848 1.18152i 0.114459 0.0735584i
\(259\) −17.5125 14.0565i −1.08817 0.873427i
\(260\) −13.1910 1.89657i −0.818069 0.117621i
\(261\) −4.69911 4.48059i −0.290868 0.277342i
\(262\) 0.907910 + 1.76110i 0.0560909 + 0.108801i
\(263\) −2.85349 + 7.12769i −0.175954 + 0.439512i −0.989961 0.141344i \(-0.954858\pi\)
0.814007 + 0.580856i \(0.197282\pi\)
\(264\) −1.31605 + 1.84813i −0.0809970 + 0.113744i
\(265\) 2.84108 1.29748i 0.174526 0.0797034i
\(266\) 2.90143 2.46394i 0.177898 0.151074i
\(267\) −3.05230 + 4.74948i −0.186798 + 0.290663i
\(268\) 11.9548 12.5379i 0.730259 0.765873i
\(269\) −3.42776 + 4.35875i −0.208994 + 0.265758i −0.879237 0.476384i \(-0.841947\pi\)
0.670243 + 0.742141i \(0.266190\pi\)
\(270\) 0.321303 0.111204i 0.0195539 0.00676766i
\(271\) −2.81244 + 5.45537i −0.170843 + 0.331390i −0.958676 0.284499i \(-0.908173\pi\)
0.787833 + 0.615889i \(0.211203\pi\)
\(272\) 14.3543 + 16.5658i 0.870359 + 1.00445i
\(273\) 2.55059 + 9.01783i 0.154369 + 0.545784i
\(274\) 2.82906 + 1.29199i 0.170910 + 0.0780518i
\(275\) 3.74814 2.16399i 0.226021 0.130493i
\(276\) 8.40530 + 4.29685i 0.505939 + 0.258640i
\(277\) −8.29707 + 14.3710i −0.498523 + 0.863467i −0.999999 0.00170483i \(-0.999457\pi\)
0.501476 + 0.865172i \(0.332791\pi\)
\(278\) 0.213937 + 2.24045i 0.0128311 + 0.134373i
\(279\) 1.22747 4.18037i 0.0734865 0.250272i
\(280\) 2.43758 + 2.60798i 0.145673 + 0.155857i
\(281\) 13.6864 + 21.2964i 0.816462 + 1.27044i 0.959777 + 0.280762i \(0.0905873\pi\)
−0.143315 + 0.989677i \(0.545776\pi\)
\(282\) −0.664572 0.128086i −0.0395747 0.00762740i
\(283\) −3.72100 2.92623i −0.221191 0.173946i 0.501415 0.865207i \(-0.332813\pi\)
−0.722605 + 0.691261i \(0.757056\pi\)
\(284\) −5.21059 + 21.4783i −0.309191 + 1.27450i
\(285\) 15.4419 + 0.735589i 0.914700 + 0.0435726i
\(286\) 0.288207 + 2.00452i 0.0170420 + 0.118530i
\(287\) 0.322804 5.60193i 0.0190545 0.330672i
\(288\) 0.868106 + 1.90089i 0.0511536 + 0.112011i
\(289\) −12.6392 + 9.93954i −0.743480 + 0.584679i
\(290\) −1.96219 + 1.01158i −0.115224 + 0.0594018i
\(291\) 10.0830 + 2.44610i 0.591074 + 0.143393i
\(292\) 3.42816 + 8.56313i 0.200618 + 0.501119i
\(293\) 13.4406 15.5113i 0.785209 0.906180i −0.212265 0.977212i \(-0.568084\pi\)
0.997474 + 0.0710326i \(0.0226294\pi\)
\(294\) 0.485718 1.14653i 0.0283276 0.0668670i
\(295\) 10.5511 9.14258i 0.614309 0.532301i
\(296\) −5.82247 + 1.41252i −0.338424 + 0.0821008i
\(297\) 1.86436 + 2.61812i 0.108181 + 0.151919i
\(298\) 2.39804 + 1.38451i 0.138915 + 0.0802025i
\(299\) 16.2829 4.84173i 0.941662 0.280004i
\(300\) 2.65052i 0.153028i
\(301\) 25.7495 19.8378i 1.48418 1.14343i
\(302\) 1.92775 + 0.566037i 0.110929 + 0.0325718i
\(303\) −4.00535 + 11.5727i −0.230101 + 0.664833i
\(304\) 1.46670 + 30.7898i 0.0841209 + 1.76591i
\(305\) 1.26788 + 3.66331i 0.0725988 + 0.209761i
\(306\) −0.949794 + 0.380240i −0.0542961 + 0.0217369i
\(307\) −3.13845 10.6886i −0.179121 0.610029i −0.999282 0.0378961i \(-0.987934\pi\)
0.820161 0.572133i \(-0.193884\pi\)
\(308\) −8.51311 + 14.4117i −0.485080 + 0.821184i
\(309\) −7.91513 + 1.13802i −0.450276 + 0.0647399i
\(310\) −1.20666 0.859262i −0.0685340 0.0488028i
\(311\) 2.65334 27.7870i 0.150457 1.57566i −0.533287 0.845934i \(-0.679044\pi\)
0.683744 0.729722i \(-0.260350\pi\)
\(312\) 2.32128 + 0.929299i 0.131416 + 0.0526112i
\(313\) −0.457286 + 9.59962i −0.0258473 + 0.542603i 0.948394 + 0.317094i \(0.102707\pi\)
−0.974241 + 0.225508i \(0.927596\pi\)
\(314\) −2.10604 + 0.618390i −0.118851 + 0.0348978i
\(315\) 4.62078 2.05487i 0.260351 0.115779i
\(316\) 7.16448 + 6.20805i 0.403033 + 0.349230i
\(317\) 5.39420 + 2.78090i 0.302968 + 0.156191i 0.603007 0.797736i \(-0.293969\pi\)
−0.300038 + 0.953927i \(0.597000\pi\)
\(318\) −0.285416 + 0.0550094i −0.0160053 + 0.00308477i
\(319\) −14.4010 15.1034i −0.806303 0.845626i
\(320\) −13.7960 + 1.31736i −0.771218 + 0.0736424i
\(321\) 18.2728 1.01989
\(322\) −2.08986 0.852542i −0.116463 0.0475103i
\(323\) −46.5180 −2.58833
\(324\) 1.95945 0.187104i 0.108858 0.0103947i
\(325\) −3.29147 3.45200i −0.182578 0.191482i
\(326\) 3.64810 0.703113i 0.202049 0.0389418i
\(327\) 1.47357 + 0.759681i 0.0814889 + 0.0420104i
\(328\) −1.13143 0.980392i −0.0624729 0.0541331i
\(329\) −10.0109 1.05664i −0.551920 0.0582547i
\(330\) 1.04853 0.307877i 0.0577199 0.0169481i
\(331\) 0.0661491 1.38864i 0.00363588 0.0763265i −0.996320 0.0857104i \(-0.972684\pi\)
0.999956 + 0.00938391i \(0.00298704\pi\)
\(332\) 27.8379 + 11.1446i 1.52780 + 0.611640i
\(333\) −0.806794 + 8.44913i −0.0442120 + 0.463009i
\(334\) 0.356159 + 0.253620i 0.0194882 + 0.0138775i
\(335\) −16.6513 + 2.39410i −0.909759 + 0.130804i
\(336\) 4.95445 + 8.78222i 0.270288 + 0.479110i
\(337\) −7.24558 24.6762i −0.394692 1.34420i −0.882116 0.471032i \(-0.843882\pi\)
0.487424 0.873165i \(-0.337936\pi\)
\(338\) −0.0748587 + 0.0299689i −0.00407178 + 0.00163009i
\(339\) −5.16411 14.9207i −0.280476 0.810381i
\(340\) −1.02961 21.6143i −0.0558387 1.17220i
\(341\) 4.58004 13.2332i 0.248023 0.716615i
\(342\) −1.38043 0.405332i −0.0746454 0.0219179i
\(343\) 5.74633 17.6062i 0.310272 0.950648i
\(344\) 8.67249i 0.467589i
\(345\) −3.83654 8.32526i −0.206552 0.448217i
\(346\) −2.01981 1.16614i −0.108586 0.0626921i
\(347\) −13.1925 18.5263i −0.708213 0.994546i −0.999284 0.0378444i \(-0.987951\pi\)
0.291071 0.956702i \(-0.405989\pi\)
\(348\) −12.4200 + 3.01307i −0.665783 + 0.161517i
\(349\) −5.85783 + 5.07584i −0.313562 + 0.271703i −0.797396 0.603457i \(-0.793790\pi\)
0.483833 + 0.875160i \(0.339244\pi\)
\(350\) 0.0539539 + 0.631433i 0.00288396 + 0.0337515i
\(351\) 2.31960 2.67696i 0.123811 0.142886i
\(352\) 2.49630 + 6.23546i 0.133053 + 0.332351i
\(353\) −22.8810 5.55087i −1.21783 0.295443i −0.425175 0.905111i \(-0.639788\pi\)
−0.792657 + 0.609668i \(0.791303\pi\)
\(354\) −1.15484 + 0.595361i −0.0613790 + 0.0316431i
\(355\) 16.8701 13.2668i 0.895371 0.704127i
\(356\) 4.61642 + 10.1085i 0.244670 + 0.535752i
\(357\) −13.5941 + 6.83774i −0.719477 + 0.361892i
\(358\) 0.173795 + 1.20877i 0.00918536 + 0.0638856i
\(359\) 15.4555 + 0.736235i 0.815708 + 0.0388570i 0.451289 0.892378i \(-0.350964\pi\)
0.364419 + 0.931235i \(0.381267\pi\)
\(360\) 0.318098 1.31122i 0.0167652 0.0691073i
\(361\) −36.4856 28.6926i −1.92029 1.51014i
\(362\) 2.00706 + 0.386830i 0.105489 + 0.0203313i
\(363\) −0.362021 0.563315i −0.0190012 0.0295664i
\(364\) 17.6468 + 5.37305i 0.924944 + 0.281625i
\(365\) 2.52346 8.59411i 0.132084 0.449836i
\(366\) −0.0342927 0.359130i −0.00179251 0.0187720i
\(367\) −14.0588 + 24.3505i −0.733861 + 1.27109i 0.221360 + 0.975192i \(0.428951\pi\)
−0.955221 + 0.295893i \(0.904383\pi\)
\(368\) 15.7975 9.19298i 0.823501 0.479217i
\(369\) −1.83670 + 1.06042i −0.0956150 + 0.0552034i
\(370\) 2.62501 + 1.19880i 0.136468 + 0.0623227i
\(371\) −4.16011 + 1.17664i −0.215982 + 0.0610881i
\(372\) −5.61598 6.48119i −0.291175 0.336034i
\(373\) 3.75568 7.28500i 0.194462 0.377203i −0.771364 0.636394i \(-0.780425\pi\)
0.965826 + 0.259190i \(0.0834557\pi\)
\(374\) −3.10742 + 1.07549i −0.160681 + 0.0556122i
\(375\) −7.49876 + 9.53545i −0.387234 + 0.492409i
\(376\) −1.85341 + 1.94380i −0.0955824 + 0.100244i
\(377\) −12.4340 + 19.3476i −0.640382 + 0.996454i
\(378\) −0.462990 + 0.0844603i −0.0238136 + 0.00434417i
\(379\) 16.7946 7.66983i 0.862679 0.393973i 0.0655993 0.997846i \(-0.479104\pi\)
0.797080 + 0.603874i \(0.206377\pi\)
\(380\) 17.6510 24.7873i 0.905475 1.27156i
\(381\) −1.75293 + 4.37861i −0.0898054 + 0.224323i
\(382\) −1.77510 3.44322i −0.0908223 0.176171i
\(383\) 11.5879 + 11.0490i 0.592112 + 0.564577i 0.925756 0.378122i \(-0.123430\pi\)
−0.333644 + 0.942699i \(0.608278\pi\)
\(384\) 5.41354 + 0.778349i 0.276258 + 0.0397200i
\(385\) 15.1490 5.89038i 0.772066 0.300202i
\(386\) 1.50516 0.967305i 0.0766104 0.0492345i
\(387\) −11.6100 4.01828i −0.590172 0.204260i
\(388\) 14.7805 14.0932i 0.750367 0.715474i
\(389\) −0.594160 + 0.423099i −0.0301251 + 0.0214520i −0.595020 0.803711i \(-0.702856\pi\)
0.564895 + 0.825163i \(0.308917\pi\)
\(390\) −0.602167 1.04298i −0.0304919 0.0528135i
\(391\) 12.7232 + 24.4733i 0.643439 + 1.23767i
\(392\) −2.78549 4.08135i −0.140688 0.206139i
\(393\) 4.62715 10.1320i 0.233409 0.511094i
\(394\) −0.0776637 0.320134i −0.00391264 0.0161281i
\(395\) −1.74218 9.03927i −0.0876584 0.454815i
\(396\) 6.31932 0.301026i 0.317558 0.0151271i
\(397\) −5.41758 + 28.1091i −0.271900 + 1.41075i 0.547151 + 0.837034i \(0.315712\pi\)
−0.819052 + 0.573720i \(0.805500\pi\)
\(398\) 0.179358 1.24746i 0.00899039 0.0625295i
\(399\) −20.9708 4.25885i −1.04985 0.213209i
\(400\) −4.31727 2.77454i −0.215864 0.138727i
\(401\) 4.85811 + 6.17759i 0.242603 + 0.308494i 0.892072 0.451894i \(-0.149251\pi\)
−0.649469 + 0.760388i \(0.725009\pi\)
\(402\) 1.55848 + 0.148817i 0.0777300 + 0.00742231i
\(403\) −15.3627 1.46696i −0.765269 0.0730743i
\(404\) 14.9007 + 18.9478i 0.741337 + 0.942686i
\(405\) −1.60797 1.03338i −0.0799006 0.0513490i
\(406\) 2.89749 0.970625i 0.143800 0.0481713i
\(407\) −3.88232 + 27.0021i −0.192439 + 1.33845i
\(408\) −0.768350 + 3.98658i −0.0380390 + 0.197365i
\(409\) 1.13250 0.0539476i 0.0559985 0.00266754i −0.0195640 0.999809i \(-0.506228\pi\)
0.0755625 + 0.997141i \(0.475925\pi\)
\(410\) 0.136468 + 0.708061i 0.00673966 + 0.0349687i
\(411\) −4.12205 16.9913i −0.203326 0.838120i
\(412\) −6.53864 + 14.3176i −0.322136 + 0.705379i
\(413\) −16.3604 + 10.2854i −0.805044 + 0.506112i
\(414\) 0.164317 + 0.837117i 0.00807574 + 0.0411420i
\(415\) −14.5591 25.2170i −0.714676 1.23786i
\(416\) 6.02957 4.29364i 0.295624 0.210513i
\(417\) 9.15703 8.73121i 0.448422 0.427569i
\(418\) −4.36983 1.51241i −0.213735 0.0739745i
\(419\) −9.37506 + 6.02499i −0.458002 + 0.294340i −0.749225 0.662315i \(-0.769574\pi\)
0.291224 + 0.956655i \(0.405938\pi\)
\(420\) 1.51469 9.83823i 0.0739091 0.480056i
\(421\) −16.7211 2.40413i −0.814935 0.117170i −0.277771 0.960647i \(-0.589596\pi\)
−0.537165 + 0.843477i \(0.680505\pi\)
\(422\) 1.18816 + 1.13291i 0.0578386 + 0.0551490i
\(423\) 1.74346 + 3.38183i 0.0847697 + 0.164430i
\(424\) −0.428704 + 1.07085i −0.0208197 + 0.0520051i
\(425\) 4.49237 6.30864i 0.217912 0.306014i
\(426\) −1.81682 + 0.829713i −0.0880251 + 0.0401997i
\(427\) −0.962968 5.27875i −0.0466013 0.255457i
\(428\) 19.4455 30.2578i 0.939933 1.46256i
\(429\) 7.85637 8.23952i 0.379309 0.397808i
\(430\) −2.58217 + 3.28349i −0.124523 + 0.158344i
\(431\) −2.19360 + 0.759213i −0.105662 + 0.0365700i −0.379387 0.925238i \(-0.623865\pi\)
0.273725 + 0.961808i \(0.411744\pi\)
\(432\) 1.74637 3.38748i 0.0840223 0.162980i
\(433\) −18.5481 21.4056i −0.891363 1.02869i −0.999403 0.0345415i \(-0.989003\pi\)
0.108040 0.994147i \(-0.465543\pi\)
\(434\) 1.46983 + 1.42970i 0.0705540 + 0.0686276i
\(435\) 11.2889 + 5.15548i 0.541263 + 0.247187i
\(436\) 2.82609 1.63164i 0.135345 0.0781415i
\(437\) −7.21033 + 38.1128i −0.344917 + 1.82318i
\(438\) −0.416783 + 0.721889i −0.0199146 + 0.0344932i
\(439\) −2.14898 22.5051i −0.102565 1.07411i −0.889457 0.457020i \(-0.848917\pi\)
0.786891 0.617092i \(-0.211689\pi\)
\(440\) 1.22177 4.16096i 0.0582455 0.198366i
\(441\) −6.75440 + 1.83795i −0.321638 + 0.0875215i
\(442\) 1.95922 + 3.04860i 0.0931905 + 0.145007i
\(443\) 13.5149 + 2.60478i 0.642112 + 0.123757i 0.499905 0.866080i \(-0.333368\pi\)
0.142206 + 0.989837i \(0.454580\pi\)
\(444\) 13.1322 + 10.3273i 0.623229 + 0.490112i
\(445\) 2.54412 10.4870i 0.120603 0.497132i
\(446\) 2.31498 + 0.110276i 0.109617 + 0.00522172i
\(447\) −2.21536 15.4082i −0.104783 0.728782i
\(448\) 19.1514 + 1.10358i 0.904821 + 0.0521391i
\(449\) −2.80702 6.14653i −0.132472 0.290072i 0.831759 0.555137i \(-0.187334\pi\)
−0.964231 + 0.265064i \(0.914607\pi\)
\(450\) 0.188282 0.148067i 0.00887572 0.00697994i
\(451\) −6.05882 + 3.12354i −0.285299 + 0.147082i
\(452\) −30.2025 7.32705i −1.42061 0.344636i
\(453\) −4.19783 10.4857i −0.197231 0.492660i
\(454\) 0.514397 0.593646i 0.0241419 0.0278612i
\(455\) −10.2446 14.6941i −0.480275 0.688872i
\(456\) −4.31482 + 3.73881i −0.202060 + 0.175086i
\(457\) 22.2190 5.39028i 1.03936 0.252147i 0.320464 0.947261i \(-0.396161\pi\)
0.718899 + 0.695114i \(0.244646\pi\)
\(458\) −0.629967 0.884665i −0.0294364 0.0413377i
\(459\) 4.98091 + 2.87573i 0.232489 + 0.134228i
\(460\) −17.8685 2.50666i −0.833121 0.116873i
\(461\) 28.2854i 1.31738i −0.752412 0.658692i \(-0.771110\pi\)
0.752412 0.658692i \(-0.228890\pi\)
\(462\) −1.49932 + 0.200349i −0.0697549 + 0.00932110i
\(463\) −1.42669 0.418913i −0.0663037 0.0194685i 0.248412 0.968654i \(-0.420091\pi\)
−0.314716 + 0.949186i \(0.601909\pi\)
\(464\) −8.09339 + 23.3843i −0.375726 + 1.08559i
\(465\) 0.396247 + 8.31824i 0.0183755 + 0.385749i
\(466\) −0.877838 2.53635i −0.0406651 0.117494i
\(467\) 3.39911 1.36080i 0.157292 0.0629702i −0.291681 0.956516i \(-0.594214\pi\)
0.448972 + 0.893546i \(0.351790\pi\)
\(468\) −1.96429 6.68976i −0.0907994 0.309234i
\(469\) 23.2846 + 0.231925i 1.07518 + 0.0107093i
\(470\) 1.28047 0.184104i 0.0590637 0.00849208i
\(471\) 10.0514 + 7.15755i 0.463143 + 0.329803i
\(472\) −0.490107 + 5.13263i −0.0225590 + 0.236249i
\(473\) −36.6590 14.6760i −1.68558 0.674805i
\(474\) −0.0407639 + 0.855740i −0.00187235 + 0.0393054i
\(475\) 10.4499 3.06836i 0.479473 0.140786i
\(476\) −3.14398 + 29.7869i −0.144104 + 1.36528i
\(477\) 1.23494 + 1.07008i 0.0565439 + 0.0489955i
\(478\) 1.22087 + 0.629400i 0.0558411 + 0.0287881i
\(479\) 8.88139 1.71175i 0.405801 0.0782118i 0.0177338 0.999843i \(-0.494355\pi\)
0.388067 + 0.921631i \(0.373143\pi\)
\(480\) −2.75639 2.89081i −0.125811 0.131947i
\(481\) 29.9279 2.85777i 1.36460 0.130303i
\(482\) −1.07700 −0.0490561
\(483\) 3.49515 + 12.1977i 0.159035 + 0.555015i
\(484\) −1.31804 −0.0599109
\(485\) −19.7418 + 1.88511i −0.896428 + 0.0855985i
\(486\) 0.122752 + 0.128739i 0.00556816 + 0.00583972i
\(487\) 3.73861 0.720558i 0.169412 0.0326516i −0.103840 0.994594i \(-0.533113\pi\)
0.273252 + 0.961942i \(0.411901\pi\)
\(488\) −1.27249 0.656014i −0.0576029 0.0296964i
\(489\) −15.7846 13.6774i −0.713803 0.618514i
\(490\) −0.160577 + 2.37460i −0.00725413 + 0.107273i
\(491\) 14.1579 4.15714i 0.638937 0.187609i 0.0538111 0.998551i \(-0.482863\pi\)
0.585126 + 0.810942i \(0.301045\pi\)
\(492\) −0.198635 + 4.16985i −0.00895514 + 0.187991i
\(493\) −34.6685 13.8792i −1.56139 0.625086i
\(494\) −0.484416 + 5.07303i −0.0217949 + 0.228247i
\(495\) −5.00427 3.56352i −0.224925 0.160169i
\(496\) −16.4356 + 2.36308i −0.737980 + 0.106106i
\(497\) −25.8740 + 14.5967i −1.16061 + 0.654751i
\(498\) 0.763450 + 2.60007i 0.0342110 + 0.116512i
\(499\) −6.91242 + 2.76732i −0.309442 + 0.123882i −0.521186 0.853443i \(-0.674510\pi\)
0.211743 + 0.977325i \(0.432086\pi\)
\(500\) 7.80965 + 22.5645i 0.349258 + 1.00912i
\(501\) −0.116956 2.45521i −0.00522521 0.109691i
\(502\) 1.01193 2.92377i 0.0451644 0.130494i
\(503\) 28.8822 + 8.48058i 1.28779 + 0.378130i 0.852769 0.522288i \(-0.174921\pi\)
0.435025 + 0.900419i \(0.356740\pi\)
\(504\) −0.711363 + 1.72685i −0.0316866 + 0.0769200i
\(505\) 23.4074i 1.04161i
\(506\) 0.399509 + 2.71265i 0.0177603 + 0.120592i
\(507\) 0.392574 + 0.226653i 0.0174348 + 0.0100660i
\(508\) 5.38507 + 7.56227i 0.238924 + 0.335521i
\(509\) 10.3568 2.51252i 0.459055 0.111366i 0.000438788 1.00000i \(-0.499860\pi\)
0.458616 + 0.888634i \(0.348345\pi\)
\(510\) 1.47788 1.28059i 0.0654415 0.0567053i
\(511\) −5.26245 + 11.2259i −0.232797 + 0.496605i
\(512\) 8.73902 10.0854i 0.386214 0.445714i
\(513\) 3.00602 + 7.50867i 0.132719 + 0.331516i
\(514\) 2.54986 + 0.618590i 0.112470 + 0.0272848i
\(515\) 13.5854 7.00378i 0.598646 0.308623i
\(516\) −19.0089 + 14.9488i −0.836821 + 0.658084i
\(517\) 5.08009 + 11.1238i 0.223422 + 0.489226i
\(518\) −3.33872 2.19296i −0.146695 0.0963530i
\(519\) 1.86595 + 12.9780i 0.0819060 + 0.569669i
\(520\) −4.77381 0.227405i −0.209346 0.00997236i
\(521\) 7.53057 31.0414i 0.329920 1.35995i −0.529339 0.848410i \(-0.677560\pi\)
0.859260 0.511540i \(-0.170925\pi\)
\(522\) −0.907862 0.713950i −0.0397360 0.0312488i
\(523\) −15.6371 3.01381i −0.683765 0.131785i −0.164473 0.986382i \(-0.552592\pi\)
−0.519292 + 0.854597i \(0.673804\pi\)
\(524\) −11.8534 18.4443i −0.517820 0.805743i
\(525\) 2.60278 2.43272i 0.113595 0.106173i
\(526\) −0.384766 + 1.31039i −0.0167766 + 0.0571359i
\(527\) −2.38194 24.9448i −0.103759 1.08661i
\(528\) 6.12469 10.6083i 0.266543 0.461666i
\(529\) 22.0234 6.63088i 0.957540 0.288299i
\(530\) 0.481149 0.277792i 0.0208998 0.0120665i
\(531\) 6.64408 + 3.03425i 0.288328 + 0.131675i
\(532\) −29.3688 + 30.1932i −1.27330 + 1.30904i
\(533\) 4.91952 + 5.67742i 0.213088 + 0.245917i
\(534\) −0.460183 + 0.892630i −0.0199141 + 0.0386279i
\(535\) −33.0057 + 11.4234i −1.42696 + 0.493876i
\(536\) 3.84046 4.88355i 0.165883 0.210937i
\(537\) 4.73756 4.96861i 0.204441 0.214411i
\(538\) −0.533274 + 0.829790i −0.0229911 + 0.0357748i
\(539\) −21.9658 + 4.86769i −0.946132 + 0.209666i
\(540\) −3.42232 + 1.56292i −0.147273 + 0.0672574i
\(541\) −1.63512 + 2.29620i −0.0702992 + 0.0987215i −0.848229 0.529630i \(-0.822331\pi\)
0.777929 + 0.628352i \(0.216270\pi\)
\(542\) −0.405773 + 1.01357i −0.0174294 + 0.0435366i
\(543\) −5.26538 10.2134i −0.225959 0.438300i
\(544\) 8.69856 + 8.29406i 0.372948 + 0.355605i
\(545\) −3.13660 0.450974i −0.134357 0.0193176i
\(546\) 0.604130 + 1.55372i 0.0258544 + 0.0664930i
\(547\) 34.1929 21.9745i 1.46198 0.939560i 0.463412 0.886143i \(-0.346625\pi\)
0.998572 0.0534174i \(-0.0170114\pi\)
\(548\) −32.5223 11.2561i −1.38928 0.480836i
\(549\) −1.46781 + 1.39955i −0.0626446 + 0.0597315i
\(550\) 0.627116 0.446567i 0.0267403 0.0190417i
\(551\) −26.2572 45.4789i −1.11860 1.93747i
\(552\) 3.14716 + 1.24744i 0.133952 + 0.0530947i
\(553\) 0.479508 + 12.7334i 0.0203908 + 0.541478i
\(554\) −1.22622 + 2.68505i −0.0520971 + 0.114077i
\(555\) −3.82474 15.7658i −0.162351 0.669221i
\(556\) −4.71323 24.4545i −0.199885 1.03710i
\(557\) −12.3081 + 0.586309i −0.521513 + 0.0248427i −0.306688 0.951810i \(-0.599221\pi\)
−0.214824 + 0.976653i \(0.568918\pi\)
\(558\) 0.146671 0.760999i 0.00620906 0.0322157i
\(559\) −6.19322 + 43.0748i −0.261945 + 1.82187i
\(560\) −14.4394 12.7658i −0.610174 0.539452i
\(561\) 15.5512 + 9.99413i 0.656571 + 0.421953i
\(562\) 2.78363 + 3.53968i 0.117420 + 0.149312i
\(563\) 42.3363 + 4.04263i 1.78426 + 0.170377i 0.934305 0.356474i \(-0.116021\pi\)
0.849958 + 0.526850i \(0.176627\pi\)
\(564\) 7.45528 + 0.711893i 0.313924 + 0.0299761i
\(565\) 18.6556 + 23.7225i 0.784845 + 0.998012i
\(566\) −0.708381 0.455249i −0.0297755 0.0191355i
\(567\) 1.98217 + 1.75243i 0.0832433 + 0.0735951i
\(568\) −1.12799 + 7.84537i −0.0473296 + 0.329184i
\(569\) 2.29782 11.9222i 0.0963296 0.499806i −0.901431 0.432922i \(-0.857482\pi\)
0.997761 0.0668831i \(-0.0213055\pi\)
\(570\) 2.74684 0.130848i 0.115052 0.00548062i
\(571\) −1.47997 7.67881i −0.0619348 0.321348i 0.937726 0.347375i \(-0.112927\pi\)
−0.999661 + 0.0260263i \(0.991715\pi\)
\(572\) −5.28318 21.7776i −0.220901 0.910565i
\(573\) −9.04679 + 19.8097i −0.377935 + 0.827563i
\(574\) −0.0375607 0.997428i −0.00156775 0.0416318i
\(575\) −4.47244 4.65850i −0.186513 0.194273i
\(576\) −3.62529 6.27918i −0.151054 0.261633i
\(577\) −0.948923 + 0.675725i −0.0395042 + 0.0281308i −0.599638 0.800271i \(-0.704689\pi\)
0.560134 + 0.828402i \(0.310750\pi\)
\(578\) −2.07003 + 1.97377i −0.0861019 + 0.0820980i
\(579\) −9.50507 3.28974i −0.395017 0.136717i
\(580\) 20.5503 13.2069i 0.853305 0.548386i
\(581\) 14.6065 + 37.5654i 0.605980 + 1.55848i
\(582\) 1.82682 + 0.262656i 0.0757240 + 0.0108875i
\(583\) 3.80105 + 3.62430i 0.157424 + 0.150103i
\(584\) 1.51576 + 2.94017i 0.0627226 + 0.121665i
\(585\) −2.51631 + 6.28544i −0.104037 + 0.259871i
\(586\) 2.11774 2.97395i 0.0874829 0.122853i
\(587\) 30.6315 13.9889i 1.26430 0.577385i 0.333440 0.942771i \(-0.391790\pi\)
0.930856 + 0.365387i \(0.119063\pi\)
\(588\) −4.14442 + 13.1404i −0.170913 + 0.541902i
\(589\) 19.0513 29.6444i 0.784995 1.22148i
\(590\) 1.71376 1.79734i 0.0705544 0.0739953i
\(591\) −1.14477 + 1.45570i −0.0470896 + 0.0598793i
\(592\) 30.5683 10.5798i 1.25635 0.434826i
\(593\) −10.1227 + 19.6353i −0.415688 + 0.806323i −0.999986 0.00521607i \(-0.998340\pi\)
0.584298 + 0.811539i \(0.301370\pi\)
\(594\) 0.374402 + 0.432083i 0.0153619 + 0.0177286i
\(595\) 20.2800 20.8493i 0.831399 0.854737i
\(596\) −27.8718 12.7286i −1.14167 0.521384i
\(597\) −6.13577 + 3.54249i −0.251120 + 0.144984i
\(598\) 2.80144 1.13268i 0.114559 0.0463186i
\(599\) −4.01942 + 6.96183i −0.164229 + 0.284453i −0.936381 0.350985i \(-0.885847\pi\)
0.772152 + 0.635438i \(0.219180\pi\)
\(600\) −0.0903542 0.946232i −0.00368870 0.0386298i
\(601\) −0.246162 + 0.838349i −0.0100411 + 0.0341970i −0.964361 0.264589i \(-0.914764\pi\)
0.954320 + 0.298786i \(0.0965818\pi\)
\(602\) 4.22420 3.94820i 0.172166 0.160916i
\(603\) −4.75828 7.40403i −0.193772 0.301515i
\(604\) −21.8303 4.20745i −0.888264 0.171199i
\(605\) 1.00607 + 0.791181i 0.0409025 + 0.0321661i
\(606\) −0.513572 + 2.11697i −0.0208624 + 0.0859962i
\(607\) −28.5159 1.35838i −1.15743 0.0551350i −0.539931 0.841710i \(-0.681550\pi\)
−0.617495 + 0.786575i \(0.711853\pi\)
\(608\) 2.40538 + 16.7298i 0.0975509 + 0.678482i
\(609\) −14.3583 9.43088i −0.581826 0.382158i
\(610\) 0.286454 + 0.627247i 0.0115982 + 0.0253965i
\(611\) 10.5937 8.33097i 0.428575 0.337035i
\(612\) 10.0624 5.18755i 0.406750 0.209694i
\(613\) −9.76494 2.36895i −0.394402 0.0956809i 0.0336529 0.999434i \(-0.489286\pi\)
−0.428055 + 0.903753i \(0.640801\pi\)
\(614\) −0.736475 1.83962i −0.0297217 0.0742412i
\(615\) 2.65466 3.06364i 0.107046 0.123538i
\(616\) −2.54789 + 5.43518i −0.102657 + 0.218990i
\(617\) 29.4942 25.5569i 1.18739 1.02888i 0.188489 0.982075i \(-0.439641\pi\)
0.998904 0.0468062i \(-0.0149043\pi\)
\(618\) −1.38234 + 0.335352i −0.0556058 + 0.0134898i
\(619\) −24.0959 33.8380i −0.968497 1.36006i −0.932680 0.360705i \(-0.882536\pi\)
−0.0358171 0.999358i \(-0.511403\pi\)
\(620\) 14.1958 + 8.19592i 0.570115 + 0.329156i
\(621\) 3.12817 3.63518i 0.125529 0.145875i
\(622\) 4.96528i 0.199090i
\(623\) −5.68942 + 13.8112i −0.227942 + 0.553334i
\(624\) −12.9528 3.80327i −0.518526 0.152253i
\(625\) 5.38156 15.5490i 0.215262 0.621960i
\(626\) 0.0813429 + 1.70760i 0.00325112 + 0.0682493i
\(627\) 8.50235 + 24.5659i 0.339551 + 0.981069i
\(628\) 22.5485 9.02707i 0.899784 0.360219i
\(629\) 13.7530 + 46.8385i 0.548368 + 1.86757i
\(630\) 0.783485 0.442000i 0.0312148 0.0176097i
\(631\) −33.7681 + 4.85512i −1.34429 + 0.193279i −0.776615 0.629976i \(-0.783065\pi\)
−0.567671 + 0.823255i \(0.692156\pi\)
\(632\) 2.76934 + 1.97204i 0.110158 + 0.0784435i
\(633\) 0.877290 9.18739i 0.0348691 0.365166i
\(634\) 1.00221 + 0.401223i 0.0398027 + 0.0159346i
\(635\) 0.428952 9.00482i 0.0170225 0.357345i
\(636\) 3.08612 0.906166i 0.122373 0.0359318i
\(637\) 10.9205 + 22.2605i 0.432684 + 0.881995i
\(638\) −2.80546 2.43094i −0.111069 0.0962420i
\(639\) 9.98012 + 5.14511i 0.394807 + 0.203537i
\(640\) −10.2649 + 1.97840i −0.405756 + 0.0782031i
\(641\) 14.7139 + 15.4315i 0.581165 + 0.609508i 0.947024 0.321162i \(-0.104073\pi\)
−0.365860 + 0.930670i \(0.619225\pi\)
\(642\) 3.23568 0.308970i 0.127702 0.0121941i
\(643\) 6.33833 0.249959 0.124980 0.992159i \(-0.460113\pi\)
0.124980 + 0.992159i \(0.460113\pi\)
\(644\) 23.9175 + 7.19290i 0.942481 + 0.283440i
\(645\) 23.4829 0.924640
\(646\) −8.23723 + 0.786560i −0.324089 + 0.0309468i
\(647\) −24.4035 25.5936i −0.959400 1.00619i −0.999975 0.00701323i \(-0.997768\pi\)
0.0405755 0.999176i \(-0.487081\pi\)
\(648\) 0.693142 0.133592i 0.0272292 0.00524800i
\(649\) 20.8664 + 10.7574i 0.819080 + 0.422265i
\(650\) −0.641210 0.555612i −0.0251503 0.0217929i
\(651\) 1.20996 11.4635i 0.0474221 0.449289i
\(652\) −39.4458 + 11.5823i −1.54482 + 0.453599i
\(653\) −1.34094 + 28.1498i −0.0524750 + 1.10159i 0.807047 + 0.590487i \(0.201064\pi\)
−0.859522 + 0.511098i \(0.829239\pi\)
\(654\) 0.273780 + 0.109605i 0.0107057 + 0.00428590i
\(655\) −2.02377 + 21.1939i −0.0790753 + 0.828114i
\(656\) 6.58410 + 4.68852i 0.257066 + 0.183056i
\(657\) 4.63837 0.666896i 0.180960 0.0260181i
\(658\) −1.79056 0.0178348i −0.0698034 0.000695273i
\(659\) 7.25238 + 24.6993i 0.282513 + 0.962150i 0.971433 + 0.237313i \(0.0762666\pi\)
−0.688921 + 0.724837i \(0.741915\pi\)
\(660\) −11.2262 + 4.49430i −0.436980 + 0.174940i
\(661\) 0.978841 + 2.82818i 0.0380725 + 0.110003i 0.962435 0.271512i \(-0.0875236\pi\)
−0.924363 + 0.381515i \(0.875402\pi\)
\(662\) −0.0117667 0.247014i −0.000457326 0.00960046i
\(663\) 6.66317 19.2520i 0.258776 0.747684i
\(664\) 10.3180 + 3.02964i 0.400417 + 0.117573i
\(665\) 40.5415 5.41741i 1.57213 0.210078i
\(666\) 1.50978i 0.0585029i
\(667\) −16.7450 + 26.2530i −0.648370 + 1.01652i
\(668\) −4.19002 2.41911i −0.162117 0.0935980i
\(669\) −7.55751 10.6130i −0.292190 0.410324i
\(670\) −2.90807 + 0.705491i −0.112349 + 0.0272555i
\(671\) −4.92637 + 4.26872i −0.190180 + 0.164792i
\(672\) 3.16207 + 4.53543i 0.121979 + 0.174958i
\(673\) −5.92215 + 6.83453i −0.228282 + 0.263452i −0.858322 0.513111i \(-0.828493\pi\)
0.630040 + 0.776563i \(0.283038\pi\)
\(674\) −1.70026 4.24705i −0.0654917 0.163590i
\(675\) −1.30861 0.317464i −0.0503682 0.0122192i
\(676\) 0.793078 0.408860i 0.0305030 0.0157254i
\(677\) 4.14040 3.25605i 0.159129 0.125140i −0.535420 0.844586i \(-0.679847\pi\)
0.694548 + 0.719446i \(0.255604\pi\)
\(678\) −1.16673 2.55478i −0.0448080 0.0981159i
\(679\) 27.4054 + 1.57920i 1.05172 + 0.0606040i
\(680\) −1.10439 7.68118i −0.0423513 0.294560i
\(681\) −4.41089 0.210117i −0.169026 0.00805169i
\(682\) 0.587260 2.42072i 0.0224874 0.0926942i
\(683\) 27.7603 + 21.8309i 1.06222 + 0.835337i 0.986821 0.161817i \(-0.0517354\pi\)
0.0753963 + 0.997154i \(0.475978\pi\)
\(684\) 15.6324 + 3.01291i 0.597721 + 0.115201i
\(685\) 18.0678 + 28.1140i 0.690334 + 1.07418i
\(686\) 0.719839 3.21481i 0.0274836 0.122742i
\(687\) −1.72010 + 5.85811i −0.0656258 + 0.223501i
\(688\) 4.45079 + 46.6108i 0.169685 + 1.77702i
\(689\) 2.89402 5.01259i 0.110253 0.190964i
\(690\) −0.820130 1.40934i −0.0312218 0.0536525i
\(691\) −32.8985 + 18.9940i −1.25152 + 0.722564i −0.971411 0.237404i \(-0.923703\pi\)
−0.280107 + 0.959969i \(0.590370\pi\)
\(692\) 23.4757 + 10.7210i 0.892414 + 0.407552i
\(693\) 6.09566 + 5.92922i 0.231555 + 0.225233i
\(694\) −2.64934 3.05751i −0.100568 0.116061i
\(695\) −11.0817 + 21.4955i −0.420353 + 0.815371i
\(696\) −4.33123 + 1.49905i −0.164175 + 0.0568214i
\(697\) −7.54027 + 9.58823i −0.285608 + 0.363180i
\(698\) −0.951456 + 0.997859i −0.0360132 + 0.0377695i
\(699\) −8.15744 + 12.6932i −0.308543 + 0.480102i
\(700\) −1.25850 6.89876i −0.0475667 0.260749i
\(701\) 40.6045 18.5435i 1.53361 0.700377i 0.543339 0.839513i \(-0.317160\pi\)
0.990273 + 0.139136i \(0.0444326\pi\)
\(702\) 0.365483 0.513248i 0.0137943 0.0193713i
\(703\) −25.5137 + 63.7303i −0.962269 + 2.40363i
\(704\) −10.6785 20.7134i −0.402462 0.780667i
\(705\) −5.26333 5.01857i −0.198228 0.189010i
\(706\) −4.14554 0.596038i −0.156019 0.0224322i
\(707\) −4.93026 + 32.0231i −0.185421 + 1.20435i
\(708\) 12.0948 7.77288i 0.454552 0.292123i
\(709\) −5.83056 2.01798i −0.218971 0.0757867i 0.215380 0.976530i \(-0.430901\pi\)
−0.434351 + 0.900744i \(0.643022\pi\)
\(710\) 2.76297 2.63448i 0.103692 0.0988704i
\(711\) 3.92314 2.79366i 0.147129 0.104770i
\(712\) 1.99265 + 3.45137i 0.0746777 + 0.129346i
\(713\) −20.8068 1.91491i −0.779221 0.0717140i
\(714\) −2.29158 + 1.44066i −0.0857602 + 0.0539154i
\(715\) −9.03974 + 19.7943i −0.338067 + 0.740264i
\(716\) −3.18587 13.1323i −0.119062 0.490779i
\(717\) −1.46135 7.58220i −0.0545751 0.283162i
\(718\) 2.74925 0.130963i 0.102601 0.00488748i
\(719\) 7.00297 36.3349i 0.261167 1.35506i −0.580146 0.814513i \(-0.697004\pi\)
0.841313 0.540549i \(-0.181783\pi\)
\(720\) −1.03671 + 7.21047i −0.0386359 + 0.268718i
\(721\) −20.0611 + 6.72024i −0.747116 + 0.250275i
\(722\) −6.94589 4.46385i −0.258499 0.166127i
\(723\) 3.74270 + 4.75923i 0.139193 + 0.176998i
\(724\) −22.5156 2.14998i −0.836784 0.0799032i
\(725\) 8.70346 + 0.831080i 0.323238 + 0.0308655i
\(726\) −0.0736302 0.0936285i −0.00273267 0.00347488i
\(727\) 1.90950 + 1.22716i 0.0708194 + 0.0455129i 0.575571 0.817752i \(-0.304780\pi\)
−0.504752 + 0.863264i \(0.668416\pi\)
\(728\) 6.48306 + 1.31661i 0.240278 + 0.0487968i
\(729\) 0.142315 0.989821i 0.00527092 0.0366601i
\(730\) 0.301529 1.56448i 0.0111601 0.0579041i
\(731\) −70.5809 + 3.36218i −2.61053 + 0.124355i
\(732\) 0.755498 + 3.91990i 0.0279240 + 0.144884i
\(733\) 12.0539 + 49.6868i 0.445220 + 1.83522i 0.542621 + 0.839978i \(0.317432\pi\)
−0.0974005 + 0.995245i \(0.531053\pi\)
\(734\) −2.07774 + 4.54961i −0.0766907 + 0.167929i
\(735\) 11.0513 7.54240i 0.407632 0.278206i
\(736\) 8.14372 5.84126i 0.300181 0.215312i
\(737\) −14.1439 24.4980i −0.520998 0.902394i
\(738\) −0.307306 + 0.218832i −0.0113121 + 0.00805532i
\(739\) 10.5163 10.0272i 0.386847 0.368858i −0.471554 0.881837i \(-0.656307\pi\)
0.858401 + 0.512979i \(0.171458\pi\)
\(740\) −30.1766 10.4442i −1.10931 0.383937i
\(741\) 24.1010 15.4887i 0.885371 0.568993i
\(742\) −0.716761 + 0.278697i −0.0263131 + 0.0102313i
\(743\) −10.2942 1.48008i −0.377657 0.0542989i −0.0491274 0.998793i \(-0.515644\pi\)
−0.328530 + 0.944494i \(0.606553\pi\)
\(744\) −2.22584 2.12233i −0.0816033 0.0778086i
\(745\) 13.6341 + 26.4464i 0.499514 + 0.968921i
\(746\) 0.541862 1.35351i 0.0198390 0.0495553i
\(747\) 8.83655 12.4092i 0.323313 0.454029i
\(748\) 33.0983 15.1155i 1.21019 0.552677i
\(749\) 47.5605 8.67615i 1.73782 0.317020i
\(750\) −1.16662 + 1.81530i −0.0425990 + 0.0662853i
\(751\) 11.0022 11.5388i 0.401477 0.421057i −0.491698 0.870766i \(-0.663624\pi\)
0.893175 + 0.449709i \(0.148472\pi\)
\(752\) 8.96369 11.3983i 0.326872 0.415652i
\(753\) −16.4366 + 5.68875i −0.598982 + 0.207310i
\(754\) −1.87462 + 3.63625i −0.0682696 + 0.132424i
\(755\) 14.1376 + 16.3157i 0.514521 + 0.593789i
\(756\) 5.01120 1.41736i 0.182256 0.0515490i
\(757\) 16.3992 + 7.48927i 0.596040 + 0.272202i 0.690507 0.723326i \(-0.257387\pi\)
−0.0944672 + 0.995528i \(0.530115\pi\)
\(758\) 2.84423 1.64212i 0.103307 0.0596445i
\(759\) 10.5988 11.1922i 0.384711 0.406250i
\(760\) 5.45639 9.45075i 0.197924 0.342815i
\(761\) −0.635056 6.65061i −0.0230208 0.241084i −0.999657 0.0261856i \(-0.991664\pi\)
0.976636 0.214899i \(-0.0689421\pi\)
\(762\) −0.236366 + 0.804988i −0.00856263 + 0.0291616i
\(763\) 4.19612 + 1.27762i 0.151910 + 0.0462531i
\(764\) 23.1753 + 36.0615i 0.838453 + 1.30466i
\(765\) −10.7947 2.08050i −0.390282 0.0752206i
\(766\) 2.23876 + 1.76058i 0.0808896 + 0.0636123i
\(767\) 6.09961 25.1429i 0.220244 0.907858i
\(768\) −13.5130 0.643701i −0.487607 0.0232276i
\(769\) 2.63052 + 18.2957i 0.0948591 + 0.659760i 0.980664 + 0.195701i \(0.0626982\pi\)
−0.885804 + 0.464059i \(0.846393\pi\)
\(770\) 2.58294 1.29920i 0.0930826 0.0468198i
\(771\) −6.12753 13.4174i −0.220677 0.483216i
\(772\) −15.5625 + 12.2385i −0.560106 + 0.440473i